/* * Copyright (C) 2008 The Android Open Source Project * * Licensed under the Apache License, Version 2.0 (the "License"); * you may not use this file except in compliance with the License. * You may obtain a copy of the License at * * http://www.apache.org/licenses/LICENSE-2.0 * * Unless required by applicable law or agreed to in writing, software * distributed under the License is distributed on an "AS IS" BASIS, * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied. * See the License for the specific language governing permissions and * limitations under the License. */ #ifndef bbs_MATH_EM_H #define bbs_MATH_EM_H /** * This files contains mathematical functions. */ /* ---- includes ----------------------------------------------------------- */ #include "b_BasicEm/Basic.h" #ifdef HW_TMS320C5x #include "Dsplib.h" #endif /* ---- related objects --------------------------------------------------- */ /* ---- typedefs ----------------------------------------------------------- */ /* ---- constants ---------------------------------------------------------- */ /* ---- macros ------------------------------------------------------------- */ /** computes the maximum of two variables */ #define bbs_max( val1A, val2A ) ( ( val1A ) > ( val2A ) ? ( val1A ) : ( val2A ) ) /** computes the minimum of two variables */ #define bbs_min( val1A, val2A ) ( ( val1A ) < ( val2A ) ? ( val1A ) : ( val2A ) ) /** computes the absolute value */ #define bbs_abs( valA ) ( ( valA ) > 0 ? ( valA ) : -( valA ) ) /* ---- external functions ------------------------------------------------- */ /** * Computes square root from 32 bit value. * The return value 'r' is the largest possible integer that * satisfies r * r <= valA. * This behavior is identical with (uint16)sqrt( valA ). * C6201: 162 cycles */ uint16 bbs_sqrt32( uint32 valA ); /** * Computes square root from 16 bit value. * The return value 'r' is the largest possible integer that * satisfies r * r <= valA. * This behavior is identical with (uint8)sqrt( valA ). */ uint8 bbs_sqrt16( uint16 valA ); /** Sqrt approximation */ uint16 bbs_fastSqrt32( uint32 valA ); /** sqrt(1/x) approximation * return format 1.31 */ uint32 bbs_invSqrt32( uint32 valA ); /** 1/x approximation * return format 2.30 */ int32 bbs_inv32( int32 valA ); /** Returns integer log2 of valA * C6201: 24 cycles */ uint32 bbs_intLog2( uint32 valA ); /** * Returns (2^x) - 1 for a value range of [0,1[ * Format of valA: 0.32 * Format of return value: 0.32 */ uint32 bbs_pow2M1( uint32 valA ); /** * Returns (2^x) for a value range of [-16,16[ * Format of valA: 5.27 * Format of return value: 16.16 */ uint32 bbs_pow2( int32 valA ); /** * Returns (e^x) for a value range of [-11.0903,11.0903] * If valA is smaller than -11.0903, the function returns 0 * If valA is larger than 11.0903, the function returns ( 2^32 - 1 ) / ( 2^16 ) * Format of valA: 5.27 * Format of return value: 16.16 * C6201: 72 cycles */ uint32 bbs_exp( int32 valA ); /** saturates a signed 32 bit value to signed 16 bit */ int16 bbs_satS16( int32 valA ); /** * Returns the value after rounding to the nearest integer. */ /* int32 bbs_round( int32 valA, int32 bbpA ); */ /** * Computes the dot product of vec1A with vec2A, both of size sizeA. * (no overflow handling, slow for sizeA < 32 ) */ int32 bbs_dotProductInt16( const int16* vec1A, const int16* vec2A, uint32 sizeA ); /** Fermi function ( 1.0 / ( 1.0 + exp( -valA ) ) ) * Format valA: 16.16 * Format return: 2.30 */ int32 bbs_fermi( int32 valA ); /** reduces uint32 to N bits; if it has already <= N bits, nothing happens */ void bbs_uint32ReduceToNBits( uint32* argPtrA, int32* bbpPtrA, uint32 nBitsA ); /** reduces int32 to N bits; if it has already <= N bits, nothing happens */ void bbs_int32ReduceToNBits( int32* argPtrA, int32* bbpPtrA, uint32 nBitsA ); /** converts a number with source bbp to a 32 bit number with dst bbp; * applies appropriate shifting, rounding and saturation to minimize overflow-damage */ uint32 bbs_convertU32( uint32 srcA, int32 srcBbpA, int32 dstBbpA ); /** converts a number with source bbp to a 32 bit number with dst bbp; * applies appropriate shifting, rounding and saturation to minimize overflow-damage */ int32 bbs_convertS32( int32 srcA, int32 srcBbpA, int32 dstBbpA ); /** vector power return val = sum(xA_i^2), input 1.15, output 1.30 */ int32 bbs_vecPowerFlt16( const int16 *xA, int16 nxA ); /** returns floating point squared norm of 32 bit vector (maximum accuracy - overflow-safe); * Function is slow * returned square norm = man * 2^exp * The returned exponent is always even */ void bbs_vecSqrNorm32( const int32* vecA, uint32 sizeA, uint32* manPtrA, uint32* expPtrA ); /** returns floating point squared norm of 16 bit vector (maximum accuracy - overflow-safe); * returned square norm = man * 2^exp * The returned exponent is always even */ void bbs_vecSqrNorm16( const int16* vecA, uint32 sizeA, uint32* manPtrA, uint32* expPtrA ); /** returns the norm of a 16 bit vector; * overflow-safe when sizeA < 65535 */ uint32 bbs_vecNorm16( const int16* vecA, uint32 sizeA ); /** multiplies two unsigned 32 bit values and returns product decomposed to mantisse and exponent * maximum accuracy - overflow-safe * exponent is always >= 0 */ void bbs_mulU32( uint32 v1A, uint32 v2A, uint32* manPtrA, int32* expPtrA ); /** multiplies two signed 32 bit values and returns product decomposed to mantisse and exponent * maximum accuracy - overflow-safe * exponent is always >= 0 */ void bbs_mulS32( int32 v1A, int32 v2A, int32* manPtrA, int32* expPtrA ); /** matrix multiply rA = x1A * x2A, input/output 1.15, no overflow protection, in-place not allowed */ void bbs_matMultiplyFlt16( const int16 *x1A, int16 row1A, int16 col1A, const int16 *x2A, int16 col2A, int16 *rA ); /** matrix multiply rA = x1A * transposed( x2A ), input/output 1.15, no overflow protection, in-place not allowed */ void bbs_matMultiplyTranspFlt16( const int16 *x1A, int16 row1A, int16 col1A, const int16 *x2A, int16 row2A, int16 *rA ); /* #ifdef mtrans #define bbs_matTrans mtrans #else uint16 bbs_matTrans( int16 *xA, int16 rowA, int16 colA, int16 *rA ); #endif #ifdef atan2_16 #define bbs_vecPhase atan2_16 #else uint16 bbs_vecPhase( int16* reA, int16* imA, int16* phaseA, uint16 sizeA ); #endif */ #endif /* bbs_MATH_EM_H */